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Simplifying -1(-2x + -4) + -1(5x + -3x + 2) = -4X + -1(8x + 2) Reorder the terms: -1(-4 + -2x) + -1(5x + -3x + 2) = -4X + -1(8x + 2) (-4 * -1 + -2x * -1) + -1(5x + -3x + 2) = -4X + -1(8x + 2) (4 + 2x) + -1(5x + -3x + 2) = -4X + -1(8x + 2) Reorder the terms: 4 + 2x + -1(2 + 5x + -3x) = -4X + -1(8x + 2) Combine like terms: 5x + -3x = 2x 4 + 2x + -1(2 + 2x) = -4X + -1(8x + 2) 4 + 2x + (2 * -1 + 2x * -1) = -4X + -1(8x + 2) 4 + 2x + (-2 + -2x) = -4X + -1(8x + 2) Reorder the terms: 4 + -2 + 2x + -2x = -4X + -1(8x + 2) Combine like terms: 4 + -2 = 2 2 + 2x + -2x = -4X + -1(8x + 2) Combine like terms: 2x + -2x = 0 2 + 0 = -4X + -1(8x + 2) 2 = -4X + -1(8x + 2) Reorder the terms: 2 = -4X + -1(2 + 8x) 2 = -4X + (2 * -1 + 8x * -1) 2 = -4X + (-2 + -8x) Reorder the terms: 2 = -2 + -4X + -8x Solving 2 = -2 + -4X + -8x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '4X' to each side of the equation. 2 + 4X = -2 + -4X + 4X + -8x Combine like terms: -4X + 4X = 0 2 + 4X = -2 + 0 + -8x 2 + 4X = -2 + -8x Add '-2' to each side of the equation. 2 + -2 + 4X = -2 + -2 + -8x Combine like terms: 2 + -2 = 0 0 + 4X = -2 + -2 + -8x 4X = -2 + -2 + -8x Combine like terms: -2 + -2 = -4 4X = -4 + -8x Divide each side by '4'. X = -1 + -2x Simplifying X = -1 + -2x
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